Homework Clinic
Mathematics Clinic => Statistics => Topic started by: Mr. Wonderful on Aug 30, 2019
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Question 1
A researcher investigating whether joggers are less likely to get colds than people who do not jog found a P-value of 3%. This means that:
◦ There's a 3% chance that joggers get fewer colds.
◦ Joggers get 3% fewer colds than non-joggers.
◦ There's a 3% chance that joggers don't get fewer colds.
◦ None of these.
◦ 3% of joggers get colds.
Question 2
To plan the budget for next year a college needs to estimate what impact the current economic downturn might have on student requests for financial aid. Historically, this college has provided aid to 35% of its students. Officials look at a random sample of this year's applications to see what proportion indicate a need for financial aid. Based on these data they create a 90% confidence interval of (32%, 40%). Could this interval be used to test the hypothesis H0: p = 0.35 versus HA: p ≠ 0.35 at the α = 0.10 level of significance?
◦ Yes; since 35% is in the confidence interval they accept the null hypothesis, concluding that the percentage of students requiring financial aid will stay the same.
◦ Yes; since 35% is in the confidence interval they fail to reject the null hypothesis, concluding that there is not strong evidence of any change in financial aid requests.
◦ No, because they only used a sample of the applicants instead of all of them.
◦ Yes; since 35% is not at the center of the confidence interval they reject the null hypothesis, concluding that the percentage of students requiring aid will increase.
◦ No, because financial aid amounts may not be normally distributed.
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Answer 1
None of these.
Answer 2
Yes; since 35% is in the confidence interval they fail to reject the null hypothesis, concluding that there is not strong evidence of any change in financial aid requests.
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